As a prize a contest winner get to draw out one bill at a time from a box containing 10 five dollar bills 10 ten dollar bills and 10 twenty dollar bill the drawing end when 3 bill of the same denomination are drawn and of course the contest winner keeps whatever he was drawn. what is the largest sum of money that can be won under these condition?

$80

Step-by-step explanation:

10 - $5

10 - $10

10 - $20

The drawing will stop when 3 of the same bills are withdrawn. i.e. if any of the bills have been withdrawn for 3 times, the withdrawal will stop.

To maximize the warning, 3 largest bills should be prioritize. In this case $20 bills.

In between the $20 bills, 2 of each bills of the other values should be withdrawn

Hence, 3($20) + 2($10) + 2($5) = 60+20+10 = $80 is the maximum amount

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq